“Oscar Health Center will be integrated with a top-tier network of specialists and community resources to make sure we can guide members to the best possible care,” Oscar said in the job listing. The posting said physician candidates must be licensed in New York, though it didn’t say where the health center will be located. Oscar didn’t respond immediately to a request for comment on the center.

In the New York area, Oscar started out with a broad network of doctors and hospitals. That proved costly, and the company reported about $105 million in losses last year in New York and New Jersey.

When the insurer expanded into the Los Angeles area, Dallas and San Antonio for this year, Oscar crafted narrow networks by striking deals with more limited groups of hospitals and doctors.

Other startups have been working to gain more control over which doctors their patients see as well. New insurer Bright Health Inc. is teaming up with hospital system Centura Health to offer individual plans in Colorado next year.

Similarly, Harken Health, an independent subsidiary of UnitedHealth Group Inc., provides primary care to members at Harken Health Centers in Atlanta and the Chicago area. That can help limit expenses by reducing costly emergency-department visits, the company has said.

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